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Finding the Fourth Proportional to 8,524.70, 12,789.30 and 2,978.03

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Solution

The fourth proportional to 8,524.70, 12,789.30 and 2,978.03 is: 4,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.70 : 12,789.30 = 2,978.03 : x
  2. Step 2: Convert to fraction form
    8,524.70/12,789.30 = 2,978.03/x
  3. Step 3: Cross multiply
    8,524.70x = 12,789.30 × 2,978.03
  4. Step 4: Simplify right side
    8,524.70x = 38,086,919.08
  5. Step 5: Solve for x
    x = 38,086,919.08/8,524.70
  6. Step 6: Final answer
    x = 4,467.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.